Funk几何中球面的不同曲率
微分几何
2011-10-11 v2 度量几何
摘要
当半径趋于无穷大时，我们计算了Funk几何中超球面的法曲率、Finsler曲率和Rund曲率的级数展开。在Funk几何中，这三种曲率在无穷远处是不同的。
引用
@article{arxiv.1110.0412,
title = {On different curvatures of spheres in Funk geometry},
author = {Eugeny A. Olin},
journal= {arXiv preprint arXiv:1110.0412},
year = {2011}
}
备注
15 pages, revised version - references have been corrected. arXiv admin note: substantial text overlap with arXiv:1105.1865